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Finding the Fourth Proportional to 89,807.74, 123,977.19 and 52,068.22

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Solution

The fourth proportional to 89,807.74, 123,977.19 and 52,068.22 is: 71,878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,807.74 : 123,977.19 = 52,068.22 : x
  2. Step 2: Convert to fraction form
    89,807.74/123,977.19 = 52,068.22/x
  3. Step 3: Cross multiply
    89,807.74x = 123,977.19 × 52,068.22
  4. Step 4: Simplify right side
    89,807.74x = 6,455,271,603.90
  5. Step 5: Solve for x
    x = 6,455,271,603.90/89,807.74
  6. Step 6: Final answer
    x = 71,878.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.